SECONDARY MATH 1 // MODULE 2 LINEAR & EXPONENTIAL FUNCTIONS – 2.1 Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org 2.1 Connecting the Dots: Piggies and Pools A Develop Understanding Task 1. My little sister, Savannah, is three years old. She has a piggy bank that she wants to fill. She started with five pennies and each day when I come home from school, she is excited when I give her three pennies that are left over from my lunch money. Use a table, a graph, and an equation to create a mathematical model for the number of pennies in the piggy bank on day n. 2. Our family has a small pool for relaxing in the summer that holds 1500 gallons of water. I decided to fill the pool for the summer. When I had 5 gallons of water in the pool, I decided that I didn’t want to stand outside and watch the pool fill, so I had to figure out how long it would take so that I could leave, but come back to turn off the water at the right time. I checked the flow on the hose and found that it was filling the pool at a rate of 2 gallons every minute. Use a table, a graph, and an equation to create a mathematical model for the number of gallons of water in the pool at t minutes. CC BY Stockmonkeys.com https://flic.kr/p/d8t7KW Homework help at www.rsgsupport.org 57

2.1 Connecting the Dots: Piggies and Poolsmsubmathing.weebly.com/uploads/3/8/0/6/38068469/task_2.1.pdf · SECONDARY MATH 1 // MODULE 2 LINEAR & EXPONENTIAL FUNCTIONS – 2.1 Mathematics

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SECONDARY MATH 1 // MODULE 2

LINEAR & EXPONENTIAL FUNCTIONS – 2.1

Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org

2.1 Connecting the Dots: Piggies and Pools

A Develop Understanding Task

1. Mylittlesister,Savannah,isthreeyearsold.Shehasapiggybankthatshewantstofill.She

startedwithfivepenniesandeachdaywhenIcomehomefromschool,sheisexcitedwhenIgiveherthreepenniesthatareleftoverfrommylunchmoney.Useatable,agraph,andanequationtocreateamathematicalmodelforthenumberofpenniesinthepiggybankondayn.

2. Ourfamilyhasasmallpoolforrelaxinginthesummerthatholds1500gallonsofwater.Idecidedtofillthepoolforthesummer.WhenIhad5gallonsofwaterinthepool,IdecidedthatIdidn’twanttostandoutsideandwatchthepoolfill,soIhadtofigureouthowlongitwouldtakesothatIcouldleave,butcomebacktoturnoffthewaterattherighttime.Icheckedtheflowonthehoseandfoundthatitwasfillingthepoolatarateof2gallonseveryminute.Useatable,agraph,andanequationtocreateamathematicalmodelforthenumberofgallonsofwaterinthepoolattminutes.

CCBYStockm

onkeys.com

https://flic.kr/p/d8t7K

Homework help at www.rsgsupport.org 57

SECONDARY MATH 1 // MODULE 2

LINEAR & EXPONENTIAL FUNCTIONS – 2.1

Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org

3. I’mmoresophisticatedthanmylittlesistersoIsavemymoneyinabankaccountthatpaysme3%interestonthemoneyintheaccountattheendofeachmonth.(IfItakemymoneyoutbeforetheendofthemonth,Idon’tearnanyinterestforthemonth.)Istartedtheaccountwith$50thatIgotformybirthday.Useatable,agraph,andanequationtocreateamathematicalmodeloftheamountofmoneyIwillhaveintheaccountaftermmonths.

4. Attheendofthesummer,Idecidetodrainthe1500gallonswimmingpool.Inoticedthatitdrainsfasterwhenthereismorewaterinthepool.Thatwasinterestingtome,soIdecidedtomeasuretherateatwhichitdrains.Ifoundthat3%wasdrainingoutofthepooleveryminute.Useatable,agraph,andanequationtocreateamathematicalmodelofthegallonsofwaterinthepoolattminutes.

Homework help at www.rsgsupport.org 58

SECONDARY MATH 1 // MODULE 2

LINEAR & EXPONENTIAL FUNCTIONS – 2.1

Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org

5. Compareproblems1and3.Whatsimilaritiesdoyousee?Whatdifferencesdoyounotice?

6. Compareproblems1and2.Whatsimilaritiesdoyousee?Whatdifferencesdoyounotice?

7. Compareproblems3and4.Whatsimilaritiesdoyousee?Whatdifferencesdoyounotice?

Homework help at www.rsgsupport.org 59

cuddlycritters.orgcuddlycritters.org/2015_ChristmasNL/2015_ChristmasNL_Rev...home for their piggies until they relocate, which we also help with, Thank you to the people who continue

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